Search a number
-
+
2785400730728 = 2372112609247591
BaseRepresentation
bin101000100010000110110…
…100100011010001101000
3100212021121100212212110222
4220202012310203101220
5331114000041340403
65531332340225212
7405144553364600
oct50420664432150
910767540785428
102785400730728
11984311108490
1238b9b509b208
1317287ba00a75
1498b57d05c00
154c6c4765338
hex28886d23468

2785400730728 has 96 divisors (see below), whose sum is σ = 6630167131200. Its totient is φ = 1084800729600.

The previous prime is 2785400730713. The next prime is 2785400730733. The reversal of 2785400730728 is 8270370045872.

It is a self number, because there is not a number n which added to its sum of digits gives 2785400730728.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11126213 + ... + 11373803.

It is an arithmetic number, because the mean of its divisors is an integer number (69064240950).

Almost surely, 22785400730728 is an apocalyptic number.

2785400730728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2785400730728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315083565600).

2785400730728 is an abundant number, since it is smaller than the sum of its proper divisors (3844766400472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2785400730728 is a wasteful number, since it uses less digits than its factorization.

2785400730728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250231 (or 250220 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 53.

The spelling of 2785400730728 in words is "two trillion, seven hundred eighty-five billion, four hundred million, seven hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 2609 4312 5218 10436 18263 20872 28699 36526 57398 73052 114796 127841 146104 200893 229592 247591 255682 401786 495182 511364 803572 990364 1022728 1406251 1607144 1733137 1980728 2723501 2812502 3466274 5447002 5625004 6932548 10894004 11250008 12131959 13865096 19064507 21788008 24263918 38129014 48527836 76258028 97055672 133451549 152516056 266903098 533806196 645964919 1067612392 1291929838 2583859676 4521754433 5167719352 7105614109 9043508866 14211228218 18087017732 28422456436 31652281031 36174035464 49739298763 56844912872 63304562062 99478597526 126609124124 198957195052 253218248248 348175091341 397914390104 696350182682 1392700365364 2785400730728